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Torsion of Sandwich Panels of Trapezoidal, Triangular, and Rectangular Cross Sections. Derivation of Differential Equation and its Application to Rectangular Panels with Loads Applied at Corners (Suppplement)
FOREST PRODUCTS LAB MADISON WI
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The purpose of the present report are as follows 1 To obtain from the differential stress train relations and equations of equilibrium derived in the Report No. 1874 2 a six order partial differential equation, corresponding to the role of the equation in the thin solid plate theory, that governs the small deflection of sandwich panels under bending or twisting. The problem of bending or twisting of sandwich panels thus reduced to the integration of this governing differential equation of deflection. 2 By applying the governing differential equation and equations for stresses to solve the problem presented in Report No. 1871 that is the torsion of rectangular sandwich panel having the torque applied by forces concentrated at the corners of the panel. The result which satisfies all boundary conditions shows that the expressions of homogeneous solution remain essentially the same and the series of particular solution converge more rapidly than those of the rigorous treatment presented in Report No. 1871.
APPROVED FOR PUBLIC RELEASE